You’re thinking of the 5200, which had the keypad and analog sticks that didn’t auto-center.
The 7800 controllers were roughly the same form factor, but were digital and only had two buttons, but given the weird history and struggling Atari, many games didn’t even use the second. I think the last models shipped in Europe may have even had a gamepad like the one this new thing comes with.
EDIT: Here it is. I guess the d-Pads were standard in Europe.